Construction and clustering properties of the 2d non-linear σ-model form factors: O (3), O (4), large n examples

J. Balog, Peter Weisz

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Multi-particle form factors of local operators in integrable models in two dimensions seem to have the property that they factorize when one subset of the particles in the external states are boosted by a large rapidity with respect to the others. This remarkable property, which goes under the name of form factor clustering, was first observed by Smirnov in the O(3) non-linear σ-model and has subsequently found useful applications in integrable models without internal symmetry structure. In this paper we conjecture the nature of form factor clustering for the general O (n) σ-model and make some tests in leading orders of the 1 / n expansion and for the special cases n = 3, 4.

Original languageEnglish
Pages (from-to)259-309
Number of pages51
JournalNuclear Physics B
Volume778
Issue number3
DOIs
Publication statusPublished - Sep 3 2007

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form factors
set theory
operators
expansion
symmetry

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Construction and clustering properties of the 2d non-linear σ-model form factors : O (3), O (4), large n examples. / Balog, J.; Weisz, Peter.

In: Nuclear Physics B, Vol. 778, No. 3, 03.09.2007, p. 259-309.

Research output: Contribution to journalArticle

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